In five years I've only spoken to help desk folks whose first language is American English and all of my service has been quite good.
I have no problem, for the most part, talking to India help desks. I think after talking for a decade to IT help desk in India at my former employer I've developed an "ear". I love the sound of English spoken with a Hindi or whatever other India language I may come in contact with.
Let us know if you make the switch and how it works for you. Maybe others can glean from your research!